Namespace M4aLocalCFT 8 theorems
- Unramified local units: both Tate vanishings for cyclic G
M4aLocalCFT.unitsDecomp_cohTrivial_of_inertia_eq_bot0 below · cited by 3 · depth 17 - Norm index of field units equals decomposition group order
M4aLocalCFT.fieldUnitsDecomp_card_tateH0_eq_card6 below · cited by 2 · depth 22 - Cyclic Hilbert 90 for a decomposition group on L^×
M4aLocalCFT.fieldUnitsDecomp_norm_ker_le_derive_range0 below · cited by 2 · depth 22 - Herbrand quotient |G| for L^× under a cyclic decomposition group
M4aLocalCFT.fieldUnitsDecomp_herbrandQuotient_eq_card4 below · cited by 2 · depth 23 - Herbrand quotient of the units of a complete DVR equals one
M4aLocalCFT.unitsDecomp_herbrandQuotient_eq_one3 below · cited by 1 · depth 24 - Herbrand quotient is 1 modulo a trivial finite-index subgroup
M4aLocalCFT.herbrandQuotient_eq_one_of_cohTrivial_finiteIndex0 below · cited by 1 · depth 25 - Finite-index cohomologically trivial subgroup of local units
M4aLocalCFT.unitsDecomp_exists_cohTrivial_finiteIndex1 below · cited by 1 · depth 25 - Integral normal basis with invariant denominator for a valuation ring
M4aLocalCFT.decompositionSubgroup_exists_integralNormalBasis0 below · cited by 1 · depth 26